λ
Match Zalai

7,958,328

23 × 3 × 7 × 127 × 373
Abundant Even Composite

7,958,328 factors as 2^3 × 3 × 7 × 127 × 373. Its 64 positive divisors give a proper-divisor sum of 15,020,232, so this integer is abundant. The Collatz stopping time is 168 steps.

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Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 127 × 373
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 22,978,560
Proper Divisor Sum 15,020,232
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #7958317 ← → #7958371

Radix Representation

Decimal 7958328
Binary 11110010110111100111000 (23 bits)
Octal 0o36267470
Hexadecimal 0x796F38

Divisor Catalog (5 of 64)

1 2 3 4 6

Collatz Trajectory (168 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

Showing the first 5 trajectory entries; the stopping-time total above is unchanged.

7,958,328 3,979,164 1,989,582 994,791 2,984,374

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